91Ó°ÊÓ

Find the value of each of the following: (a) \(24-3 \times 4+28 \div 14\) (b) \((24-3) \times(4+28) \div 14\)

Write each of the following as a product of prime factors: (a) 156 (b) 546 (c) 1445 (d) 1485 .

Round each number to the nearest 10,100 and 1000 : (a) 3505 (b) 500 (c) \(-2465\) (d) \(-9005\)

Round each number to the nearest 10,100 and \(1000=\) (a) 5045 (b) 1100 (c) \(-1552\) (d) \(-4995\)

Find (i) the HCF and (ii) the LCM of: (a) 1274 and 195 (b) 64 and 18

Find the HCF and LCM for each of the following pairs of numbets: (a) 9,21 (b) 15,85 (c) 66,42 (d) 64,360

Evaluate: (a) \(\frac{9}{2}-\frac{4}{5}=\left(\frac{2}{3}\right)^{2} \times \frac{3}{11}\) (b) \(\frac{\frac{3}{4}+\frac{7}{5} \div \frac{2}{9} \times \frac{1}{3}}{\frac{7}{3}-\frac{11}{2} \times \frac{2}{5}+\frac{4}{9}}\) (c) \(\left(\frac{3}{4}+\frac{7}{5}\right)^{2} \div\left(\frac{7}{3}-\frac{11}{5}\right)^{2}\) (d) \(\frac{\left(\frac{5}{2}\right)^{3}-\frac{2}{9} \div\left(\frac{2}{3}\right)^{2} \times \frac{3}{2}}{\frac{3}{11}+\left(\frac{11}{2} \times \frac{2}{5}\right)^{2}-\frac{7}{5}}\)

In each of the following the proportions of a compound are given. Find the ratios of the components in each case: (a) \(\frac{3}{4}\) of \(\mathrm{A}\) and \(\frac{1}{4}\) of \(\mathrm{B}\). (b) \(\frac{2}{3}\) of \(\mathrm{P}, \frac{1}{15}\) of \(\mathrm{Q}\) and the remainder of \(\mathrm{R}\) (c) \(\frac{1}{5}\) of \(R, \frac{3}{5}\) of \(S, \frac{1}{6}\) of \(T\) and the remainder of \(U\),

Express each of the following as a percentage accurate to 1 dp: (a) \(\frac{4}{5}\) (b) \(\frac{3}{11}\) (c) \(\frac{2}{9}\) (d) \(\frac{1}{7}\) (e) \(\frac{9}{19}\) (f) \(\frac{13}{27}\) (g) \(\frac{7}{101}\) (h) \(\frac{199}{200}\)

Express in standard form: (a) \(537 \cdot 6\) (b) \(0.364\) (c) 4902 (d) \(0.000125\)